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Finding the Fourth Proportional to 2,940.22, 4,409.84 and 965.80

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Solution

The fourth proportional to 2,940.22, 4,409.84 and 965.80 is: 1,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.22 : 4,409.84 = 965.80 : x
  2. Step 2: Convert to fraction form
    2,940.22/4,409.84 = 965.80/x
  3. Step 3: Cross multiply
    2,940.22x = 4,409.84 × 965.80
  4. Step 4: Simplify right side
    2,940.22x = 4,259,023.47
  5. Step 5: Solve for x
    x = 4,259,023.47/2,940.22
  6. Step 6: Final answer
    x = 1,448.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.